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Lineability, spaceability, and latticeability of subsets of C([0, 1]) and Sobolev spaces

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dc.contributor.authorCarmona Tapia, J.
dc.contributor.authorFernández Sánchez, J.
dc.contributor.authorSeoane-Sepúlveda, Juan B.
dc.contributor.authorTrutschnig, W.
dc.date.accessioned2023-06-22T10:44:09Z
dc.date.available2023-06-22T10:44:09Z
dc.date.issued2022-05-21
dc.descriptionCRUE-CSIC (Acuerdos Transformativos 2022)
dc.description.abstractThis work is a contribution to the ongoing search for algebraic structures within a nonlinear setting. Here, we shall focus on the study of lineability of subsets of continuous functions on the one hand and within the setting of Sobolev spaces on the other (which represents a novelty in the area of research).
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipJunta de Andalucía
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/72543
dc.identifier.doi10.1007/s13398-022-01256-y
dc.identifier.issn1578-7303
dc.identifier.officialurlhttps://doi.org/10.1007/s13398-022-01256-y
dc.identifier.relatedurlhttps://link.springer.com/article/10.1007/s13398-022-01256-y
dc.identifier.urihttps://hdl.handle.net/20.500.14352/71543
dc.issue.number3
dc.journal.titleRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
dc.language.isoeng
dc.publisherSpringer
dc.relation.projectIDPGC2018-096422-B-I00; PGC2018-097286-B-I00
dc.relation.projectIDP18-FR-667, FQM194
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu512.64
dc.subject.keywordLineability
dc.subject.keywordAlgebrability
dc.subject.keywordContinuous function
dc.subject.keywordSobolev space
dc.subject.keywordBanach lattice
dc.subject.ucmÁlgebra
dc.subject.ucmAnálisis matemático
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.subject.unesco1201 Álgebra
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleLineability, spaceability, and latticeability of subsets of C([0, 1]) and Sobolev spaces
dc.typejournal article
dc.volume.number116
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